Development of an x-ray transport model based on Peierls' integral equation. Master's thesis

Technical Report · Sat Mar 01 04:00:00 EST 1980

OSTI ID:6704259

Dickey, R P

An X-ray transport model is developed which gives the streaming radiation flux, thermal radiation flux, and material energy of air, as a function of position and time, following the release of a large amount of x-ray energy in the atmosphere. The model is intended as a compromise between the simple diffusion theory models and the accurate transport theory models. It applies to the radiative growth which takes place at early times before hydrodynamic motion begins. The model assumes that air is heated by photoelectric absorptions to a burnout temperature, the kinetic temperature at which the air molecules are completely ionized. The opacity of air is assumed very large at temperatures below the burnout temperature and very small at temperatures above the burnout temperature. Peierls' integral equation is used to calculate the flux of thermal radiation which builds up in the burned-out air. The integral equation considers both the nonlocal and retarded time-dependent characteristics of the radiation field. An efficient numerical solution to the model is greatly complicated due to the inverse cubic temperature dependence of the opacity and the retarded time dependence of the thermal radiation field. A numerical algorithm is presented for solving the model.

• Research Organization: Air Force Inst. of Tech., Wright-Patterson AFB, OH (USA). School of Engineering
• OSTI ID: 6704259
• Report Number(s): AD-A-083519
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AIR
ATMOSPHERIC EXPLOSIONS
EARTH ATMOSPHERE
EIGENVALUES
ELECTROMAGNETIC RADIATION
ENERGY TRANSFER
EQUATIONS
EXPLOSIONS
FLUIDS
GASES
INTEGRAL EQUATIONS
IONIZATION
IONIZING RADIATIONS
MATHEMATICAL MODELS
MATHEMATICS
NEUTRAL-PARTICLE TRANSPORT
NUCLEAR EXPLOSIONS
NUMERICAL ANALYSIS
PHOTON TRANSPORT
RADIATION FLUX
RADIATION TRANSPORT
RADIATIONS
THERMAL RADIATION
X RADIATION